abstract = "The development of automotive vehicles over the past
decades has led to engines with ever increasing power
and faster dynamics. This development sets new
opportunities for electronic traction control systems
as new control designs are required to take advantage
of the full potential of modern engines. This work
proposes an approach to traction control for automotive
vehicles with rear-wheel drive, front-wheel drive or
on-demand four-wheel drive based on the method of
input-output linearization. Three different control
design models are analysed, that apart from the
actuator dynamics, the wheel dynamics and the
longitudinal vehicle dynamics, take the torsional
dynamics of the drive train into account explicitly.
Global asymptotic stability of the resulting zero
dynamics is shown analytically for the control laws
based on these design models. Stability results are
derived for the whole class of each design model by
using parametric Lyapunov functions. A reformulation of
the zero dynamics of the rear-wheel drive design model
as a Lure system is proposed. It is shown how passivity
based methods can be combined with the proposed class
of Lyapunov functions to strengthen the results to
global exponential stability and input-to-state
stability. A heuristic method for Lyapunov function
identification based on genetic programming is proposed
and its performance is evaluated on three nonlinear
example systems.The static control laws for
input-output linearisation are approximated by dynamic
control laws for a robust implementation on the
relevant control units. An experimental evaluation with
different test vehicles is carried out and a comparison
to traditional traction control systems is given. It is
shown that the proposed traction control systems
achieve better tracking performance,disturbance
attenuation and damping of drive train oscillations.",